Salah scrambled home a rebound in the sixth minute after his volley from Abdallah Said's chip over the Uganda defence had been saved by goalkeeper Denis Onyango.
Madrid led through Karim Benzema's wonderful half-volley, before Sevilla's Kevin Gameiro missed a penalty. Cristiano Ronaldo and Jese, either side of Bale's goal, sealed the win.
Tottenham's Champions league woe seems to be on the rise after going down by two unreplied to Barcelona in the first half alone. The London club are still without a win in the competition this season.
Wales forward Gareth Bale put the Spanish side, who have seen their LaLiga campaign get off to a slow start behind rivals Barcelona, in front with a well-taken volley on 18 minutes.
However, Olivier Giroud, Pedro and Eden Hazard gave Chelsea a 3-0 lead, before Alex Iwobi pulled one back with a superb volley. But Hazard, who is set to leave Stamford Bridge, made it 4-1.
Soon after Curtis Jones had a goal ruled out for Liverpool for offside. Nunez put them ahead with a difficult hooked volley from Alexis Mac Allister's clipped ball over the top.
After driving a half-volley into the net from the edge of the area, Fernandes put United two ahead inside 20 minutes when keeper Mert Gunok dropped a routine cross at the midfielder's feet.
"The full-back joined the Reds from Torino in 2015 and went on to make 92 appearances for the club. "In four years with us, Matteo scored one goal - a sublime volley against Crystal Palace in 2016, ina 2-0 victory at Old Trafford.
The Blues continued to create chances, Pedro going closest when he smacked a rising drive against the crossbar. Boro's best chance came when Alvaro Negredo's 78th-minute volley was saved.
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Mihajlovic was incensed that Mario Mandzukic's second goal was allowed to stand after Sami Khedira was cleared of fouling Afriyie Acquah in the build-up. Douglas Costa's half-volley gave the defending champions the lead.
But Bellingham smashed a sensational leveller in the 68th minute, finding the top corner from 30 yards out. The England midfielder then netted an injury-time volley to continue his fairytale start to his Real career.